Gaussian Fibonacci Circulant Type Matrices

被引:3
|
作者
Jiang, Zhaolin [1 ]
Xin, Hongxia [1 ,2 ]
Lu, Fuliang [1 ]
机构
[1] Linyi Univ, Dept Math, Linyi 276000, Shandong, Peoples R China
[2] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China
关键词
INTEGRAL-EQUATIONS; DETERMINANTS;
D O I
10.1155/2014/592782
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Circulant matrices have become important tools in solving integrable system, Hamiltonian structure, and integral equations. In this paper, we prove that Gaussian Fibonacci circulant type matrices are invertible matrices for n > 2 and give the explicit determinants and the inverse matrices. Furthermore, the upper bounds for the spread on Gaussian Fibonacci circulant and left circulant matrices are presented, respectively.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers
    Yilmaz, Fatih
    Ertas, Aybuke
    Akbiyik, Seda Yamac
    FILOMAT, 2023, 37 (25) : 8683 - 8692
  • [2] Some results on circulant and skew circulant type matrices with k-Fibonacci sequences
    Zhang, Ying
    7TH INTERNATIONAL CONFERENCE ON APPLIED PHYSICS AND MATHEMATICS (ICAPM 2017), 2017, 814
  • [3] Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers
    Jiang, Zhaolin
    Gong, Yanpeng
    Gao, Yun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
    Jiang, Zhaolin
    Yao, Jinjiang
    Lu, Fuliang
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [5] ON THE NORM OF A GAUSSIAN CIRCULANT MATRICES
    MALLIAVIN, P
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (07): : 745 - 749
  • [6] On The Circulant Matrices with Ducci Sequences and Fibonacci Numbers
    Solak, Suleyman
    Bahsi, Mustafa
    Kan, Osman
    FILOMAT, 2018, 32 (15) : 5501 - 5508
  • [7] SIMPLE FORMULATIONS ON CIRCULANT MATRICES WITH ALTERNATING FIBONACCI
    Guritman, Sugi
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (02): : 341 - 354
  • [8] On the norms of circulant matrices with the Fibonacci and Lucas numbers
    Solak, S
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (01) : 125 - 132
  • [9] On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
    Naim Tuglu
    Can Kızılateş
    Journal of Inequalities and Applications, 2015
  • [10] On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers
    Tuglu, Naim
    Kizilates, Can
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,